In this paper we study the following geometric problem: given $2^n-1$ real numbers $x_A$ indexed by nonempty subsets $A\subset \{1,\dots,n\}$, is it possible to construct a body $T\subset \mathbb{R}^n$ such that $x_A=|T_A|$, where $|T_A|$ $|A|$-dimensional volume of projection $T$ onto subspace spanned axes in $A$? As more convenient take logarithms, denote $\psi_n$ set all vectors $x$ for whic...

background: there are conficting reports regarding the association between coronary artery disease (cad) and mild cognitive  impairment (mci). volumetric magnetic resonance imaging (mri) investigations have been considered as an objective biomarker for  mci. in this study, we determined the relationship between the regional brain volumes and the extent of cad in mci patients and  cognitively no...

Abstract This article is an introduction to newly discovered relations between volumes of moduli spaces Riemann surfaces or super surfaces, simple models gravity supergravity in two dimensions, and random matrix ensembles. (The based on a lecture at the conference Mathematics Gauge Theory String Theory, University Auckland, January 2020)